On meteors, earthworms and WIMPs
Probability
2015-06-22 v2
Abstract
We study a model of mass redistribution on a finite graph. We address the questions of convergence to equilibrium and the rate of convergence. We present theorems on the distribution of empty sites and the distribution of mass at a fixed vertex. These distributions are related to random permutations with certain peak sets.
Cite
@article{arxiv.1308.2183,
title = {On meteors, earthworms and WIMPs},
author = {Sara Billey and Krzysztof Burdzy and Soumik Pal and Bruce E. Sagan},
journal= {arXiv preprint arXiv:1308.2183},
year = {2015}
}
Comments
Published at http://dx.doi.org/10.1214/14-AAP1035 in the Annals of Applied Probability (http://www.imstat.org/aap/) by the Institute of Mathematical Statistics (http://www.imstat.org)